Question

Write an equation for each problem, then solve for x.

A number increased by 8 equals 32. Find the number. ______________________
Four times a number is 48. Find the number. ______________________
Double a number decreased by 18 is 116. Find the number. ______________________
Add twelve to eight times a number and the result is eighty-four. Find the ______________________
number.
Increase my age by eleven years and I become thirty-seven. Find my age. ______________________

7)Solve each of the following word problems.
a) Amber is 7 years younger than her sister Carley. Together their ages total 43 years.
How old are Amber and Carley?
Amber: ___ years old Carley: ___years old

b) Jordan & Nevin have collected 160 buttons. Jordan has 25 buttons more than twice as
many buttons as Nevin. How many buttons do they each have?
Jordan: _____ buttons Nevin: ____ buttons

c) There are three members in the Murphy family. Mom, Dad & Brittany. Dad is 3 years
older than Mom. Brittany is 32 years younger than her Dad. If the sum of their ages is 64,
find the age of each member of the Murphy family.
Mom: _____years old Dad: ____years old Brittany: ____years old

d) The sum of three numbers is 138. The second number is twice the first and the third is 7
less than the second. What are the numbers?
1st #: _____ 2nd: _____ 3rd: _____

Answer 1

1. x + 8 = 32
Subtract 8 from both sides to isolate x.
x = 24

2. 4y = 48
Divide each side by 4 to isolate y
y = 12

3. 2z - 18 = 116
Add 18 to each side, then divide each side by 2 to isolate z
z = 67

4. 8a + 12 = 84
Subtract 12 from each side and divide each side by 8 to isolate a.
a = 9

5. b + 11 = 37
Subtract 11 from each side to isolate b
Age = 26 years

7.
a. 2x - 7 = 43
Add 7 to each side and divide by two to isolate x.
x = 25
Carley is 25 years old and Amber is 18 years old.

b. x + 2x + 25 = 160
Combine like terms, subtract 25 from each side, and divide each side by 2 to isolate x.
Nevin (x) has collected 45 buttons. Jordan has collected 115 buttons.

c. x + x + 3 + x - 29 = 64
Combine like terms, add 26 to each side, and divide by 3 to isolate the variable.
x = 30
Mom (x) is 30 years old, Dad is 33 years old, and Brittany is one year old.

d. x + 2x + 2x - 7 = 138
Combine like terms, add 7 to each side, and divide by 5 to isolate the variable.
x = 29
29, 58, 51